Are other hotels near popular places in the US following the same procedure? Or is Vegas at higher risk?
I would go straight to the front desk, demand my money back for that day and then never stay with hotel again along with making sure the corporate office got a nice email about their bullshit policy.
Maybe over priced Vegas hotels can do this but any hotel I have ever stayed at needs to make the customer happy because the competition is so fierce. Most hotels will go out of their way to make sure you are happy. Not randomly inspect your room like you are a child.
Any longer than 7 days for inspecting and cleaning every room is asking for pest infestations, or worse.
As a hotel customer, I would not want to stay in one that does not a policy of frequent room inspections.